When someone in the Church is found to be practicing polygamy, they are quietly excommunicated. There haven’t been any high-profile cases or scandals regarding excommunication within the Church for polygamy since the early 1900’s.
Polygamous groups who have been in the news somewhat recently are:
-The True and Living Church of the Saints of the Last Days (TLC): in the news 1998-2005 news regarding false predictions of the apolcalypse and a couple kidnapping their baby from a hospital.
-Tom Green Family: in the news 1999 – 2007 scandals regarding a prison sentence for child rape and bigamy
-Apostolic United Bretheren: 1998 -2010 no major scandals, in the news for holding pro-polygamy rallies in Utah
-Church of the Lamb of God (LeBaron Group): 2005-2010 scandals regarding murder
-Latter-day Church of Christ (Kingston Clan): 1998 – 2008 scandals regarding abuse and child custody
-Fundamentalist LDS (FLDS): 1998 – 2010 various allegations of rape and child abuse, invasion of Texas ranch
You can read a large collection of news stories involving these groups at the “Related Link” below.